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pottersheep
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Grade 12 math help please!! For what value of b will the polynomial p(x) = 2x^3 + bx^2  5x +2 have the same remainder when it is divided by x  2 and x+1?
 one year ago
 one year ago
pottersheep Group Title
Grade 12 math help please!! For what value of b will the polynomial p(x) = 2x^3 + bx^2  5x +2 have the same remainder when it is divided by x  2 and x+1?
 one year ago
 one year ago

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TAKEBACKMATH Group TitleBest ResponseYou've already chosen the best response.0
okay I will show you:
 one year ago

pottersheep Group TitleBest ResponseYou've already chosen the best response.1
thank you so much!
 one year ago

TAKEBACKMATH Group TitleBest ResponseYou've already chosen the best response.0
thinking
 one year ago

pottersheep Group TitleBest ResponseYou've already chosen the best response.1
oh ok sorry
 one year ago

TAKEBACKMATH Group TitleBest ResponseYou've already chosen the best response.0
sorry, it too late for me I will hand this over to lonesome else?
 one year ago

pottersheep Group TitleBest ResponseYou've already chosen the best response.1
thanks anyways
 one year ago

Callisto Group TitleBest ResponseYou've already chosen the best response.1
Here it goes~ Have you learnt remainder theorem yet?
 one year ago

Callisto Group TitleBest ResponseYou've already chosen the best response.1
@pottersheep Are you there??
 one year ago

pottersheep Group TitleBest ResponseYou've already chosen the best response.1
Yes sorry, we have!
 one year ago

Callisto Group TitleBest ResponseYou've already chosen the best response.1
So, let R be the remainder when p(x) is divided by x2. By remainder theorem, what would you get? I mean p(_) = ...?
 one year ago

pottersheep Group TitleBest ResponseYou've already chosen the best response.1
ok one sec
 one year ago

pottersheep Group TitleBest ResponseYou've already chosen the best response.1
So i'd sub in 2 for x
 one year ago

pottersheep Group TitleBest ResponseYou've already chosen the best response.1
sorryryyryryryr
 one year ago

pottersheep Group TitleBest ResponseYou've already chosen the best response.1
Sorry what do I do with the b though?
 one year ago

pottersheep Group TitleBest ResponseYou've already chosen the best response.1
4b 24
 one year ago

Callisto Group TitleBest ResponseYou've already chosen the best response.1
Right, so for p(2), you get p(2) = 4b  24 = R, agree? (By remainder theorem, p(a) = R , when p(x) is divided by xa)
 one year ago

pottersheep Group TitleBest ResponseYou've already chosen the best response.1
Right, okay
 one year ago

Callisto Group TitleBest ResponseYou've already chosen the best response.1
And what is the remainder when p(x) is divided by x+1 ?
 one year ago

Callisto Group TitleBest ResponseYou've already chosen the best response.1
Not really.. Remainder = p(1) = 2(1)^3 + b(1)^2  5(1) +2 = ...?
 one year ago

pottersheep Group TitleBest ResponseYou've already chosen the best response.1
Opps, sorry! I subbed in 1!
 one year ago

pottersheep Group TitleBest ResponseYou've already chosen the best response.1
b + 9!
 one year ago

Callisto Group TitleBest ResponseYou've already chosen the best response.1
Yes. Note that the remainder is p(x) = R when p(x) is divided by xa. Now, p(x) is divided by x+1, so a = 1 in the case. [ x(1) = x+1]
 one year ago

pottersheep Group TitleBest ResponseYou've already chosen the best response.1
True, sorry!
 one year ago

Callisto Group TitleBest ResponseYou've already chosen the best response.1
From the question, the polynomial p(x) = 2x^3 + bx^2  5x +2 have the same remainder when it is divided by x  2 and x+1. So, equate the two remainder you got and solve b. Got it?
 one year ago

Callisto Group TitleBest ResponseYou've already chosen the best response.1
Oh.. It's okay!
 one year ago

pottersheep Group TitleBest ResponseYou've already chosen the best response.1
Ohhhhhhhhh, so make them equal to each other?? Yes I get it, thank you!!!!!!
 one year ago

Callisto Group TitleBest ResponseYou've already chosen the best response.1
Yes. Since they have the SAME remainder! You're welcome :)
 one year ago
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